Inference with bivariate truncated data

Lifetime Data Analysis

Volumn 6, Issue 4, 2000, Pages 391-408

  Quale, Christopher M ^a   Van Der Laan, Mark J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bivariate truncation; Influence curves; Non parametric maximum likelihood

Indexed keywords

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; BLOOD TRANSFUSION; HUMAN; MULTIVARIATE ANALYSIS; NONPARAMETRIC TEST; STATISTICAL MODEL; SURVIVAL; TIME;

ACQUIRED IMMUNODEFICIENCY SYNDROME; BLOOD TRANSFUSION; HUMANS; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; STATISTICS, NONPARAMETRIC; SURVIVAL ANALYSIS; TIME FACTORS;

EID: 0034568217     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026513500285     Document Type: Article

References (12)

1. P. J. Bickel, C. A. J Klassen, Y. Ritov and J. A. Wellner, Efficient and Adaptive Inference in Semiparametric Models, Johns Hopkins University Press: Baltimore, 1993.
2. Gill, R. D., van der Laan, M. J., and Wellner, J. A., "Inefficient estimators of the bivariate survival function for three models," Ann. Inst. H Poincaré Probab. Statist. vol. 31 pp. 545-597, 1995.
3. R. D. Gill and N. Keiding, "Random truncation models and Markov processes," Ann. Statist. vol. 18 pp. 582-602, 1990.
4. Ü. Gürler, "Bivariate estimation with right truncated deata," J. Am. Stat. Assoc. vol. 91 pp. 1152-1165, 1996.
5. Ü. Gürler, "Bivariate distribution and hazard functions when a component is randomly truncated," J. Multivariate Anal. vol. 60 pp. 20-47, 1997.
6. N. A. Hessol, B. A. Koblin, et al., "Progression of Human Immunodeficiency Virus type 1 (HIV-1) infection among homosexual men in Hepatitis B vaccine trial cohorts in Amsterdam, New York City, and San Francisco, 1978-1991," Am. J. Epidemiol vol. 139 pp. 1077-86, 1994.
7. C. M. Quale and M. J. van der Laan, "Inference with bivariate truncated data," Tech. Rep #69, Group in Biost, UC Berkeley, 1998.
8. M. J. van der Laan, "Nonparametric estimation of the bivariate survivor function under random truncation," J. Multivariate Anal. vol. 58 pp. 107-131, 1996.
9. A. W. van der Vaart, "On differentiable functionals," Ann. Statist. vol. 19 pp. 178-204, 1991.
10. M. C. Wang, N. P. Jewell and W. Y. Tsai, "Asymptotic properties of the product limit estimate under random truncation," Ann. Statist. vol. 14 pp. 1597-1605, 1986.
11. M. C. Wang, "A semiparametric model for randomly truncated data," Anns. Statis. vol. 14 pp. 742-748, 1989.
12. M. Woodroofe, "Estimating a distribution function with truncated data," Ann. Statist. vol. 13 pp. 163-177, 1985. Correction: Ann Statist vol. 15 pp. 883, 1987.